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Finding the Fourth Proportional to 74,572.84, 111,878.46 and 27,826.12

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Solution

The fourth proportional to 74,572.84, 111,878.46 and 27,826.12 is: 41,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,572.84 : 111,878.46 = 27,826.12 : x
  2. Step 2: Convert to fraction form
    74,572.84/111,878.46 = 27,826.12/x
  3. Step 3: Cross multiply
    74,572.84x = 111,878.46 × 27,826.12
  4. Step 4: Simplify right side
    74,572.84x = 3,113,143,453.38
  5. Step 5: Solve for x
    x = 3,113,143,453.38/74,572.84
  6. Step 6: Final answer
    x = 41,746.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.